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- W2034616400 abstract "Abstract In this paper we prove new qualitative features of solutions of KdV on the circle. The first result says that the Fourier coefficients of a solution of KdV in Sobolev space H N , N ≥ 0, admit a WKB type expansion up to first order with strongly oscillating phase factors defined in terms of the KdV frequencies. The second result provides estimates for the approximation of such a solution by trigonometric polynomials of sufficiently large degree. Keywords: Airy equationBirkhoff coordinatesKdV equationSmoothing propertiesMathematics Subject Classification: 35Q5335B4035B6537K1037K1537K40 Acknowledgments It is a pleasure to thank Wilhelm Schlag for useful discussions concerning Appendix B. T. Kappeler was supported in part by the Swiss National Science Foundation, B. Schaad was supported in part by the Swiss National Science Foundation, and P. Topalov was supported in part by NSF DMS-0901443." @default.
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- W2034616400 date "2013-09-02" @default.
- W2034616400 modified "2023-09-27" @default.
- W2034616400 title "Qualitative Features of Periodic Solutions of KdV" @default.
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- W2034616400 doi "https://doi.org/10.1080/03605302.2013.814141" @default.
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